Theorems · Theorem · probability
MeasureTheory.levyProkhorovEDist_triangle
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : PseudoEMetricSpace Ω] [OpensMeasurableSpace Ω]
(μ ν κ : MeasureTheory.Measure Ω),
MeasureTheory.levyProkhorovEDist μ κ ≤ MeasureTheory.levyProkhorovEDist μ ν + MeasureTheory.levyProkhorovEDist ν κ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realproof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- MeasurableSetproof · cited by 3,075
- le_reflproof · cited by 2,061
- PseudoEMetricSpacestatement and proof · cited by 1,536
- add_commproof · cited by 1,535
- LT.lt.ne'proof · cited by 1,417
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.levyProkhorovDist_triangleproof · cited by 0